Originally Posted by joxer
I don't think in there they wrote the software will be spying on stuff outside of Origin folders.

Most likely the did not, but that's completely irrelevant when it comes to the question if it's allowed for the application to be reverse engineered.
It may be allowed if there's an "official investigation" (don't know the correct words) by the police. But that's a thing a court has to decide.

Even if it was, what, if in EULA it was said "you accept not to sue EA if EA CEO kills your mother" that would make EA killing people a legal business?

No, because an EULA as every contract itself can (partly) be illicit making the conclusion of the contract invalid.
I guess EA can afford to pay skilled lawyers to avoid stuff like that.